Last suggestion is quite seductive!
FBinNY, I am a bit afraid not doing it correctly. Is there any video showing this technique? I'm quite a newbie!
The wheel is in the bike, I exert sideway tension and the spoke should come out of the rim, correct? Would it be easier/less risky if I loosen some spokes?
Should I sit on the frame of the bike or no pressure at all (beside the one I exert with my hand on the rim)?
Little diagram again to illustrate what I understood. Sorry, native french speaker here!